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Finding the Fourth Proportional to 338.74, 505.87 and 273.82

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Solution

The fourth proportional to 338.74, 505.87 and 273.82 is: 408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.74 : 505.87 = 273.82 : x
  2. Step 2: Convert to fraction form
    338.74/505.87 = 273.82/x
  3. Step 3: Cross multiply
    338.74x = 505.87 × 273.82
  4. Step 4: Simplify right side
    338.74x = 138,517.32
  5. Step 5: Solve for x
    x = 138,517.32/338.74
  6. Step 6: Final answer
    x = 408.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.